Besides Peck, this gem has Anthony Perkins [pre-Psycho days], Ava Gardner [post-The Killers and pre-The Night of the Iguana], and, would you believe it, a race-car driving Fred Astaire [post-"White Christmas"].
The plot isn't much more than sitting around waiting for the radiation to come...oh please, won't it come???
From the Geffen Records rarities collection, DGC Rarities, Vol. 1.
From an Uncut Magazine sampler of Neil Young covers called Like a Hurricane: A Tribute to Neil Young.